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Finding the Fourth Proportional to 880.04, 1,318.80 and 446.60

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Solution

The fourth proportional to 880.04, 1,318.80 and 446.60 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.04 : 1,318.80 = 446.60 : x
  2. Step 2: Convert to fraction form
    880.04/1,318.80 = 446.60/x
  3. Step 3: Cross multiply
    880.04x = 1,318.80 × 446.60
  4. Step 4: Simplify right side
    880.04x = 588,976.08
  5. Step 5: Solve for x
    x = 588,976.08/880.04
  6. Step 6: Final answer
    x = 669.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.